Top person sorted by normalized score

At this site we keep several lists of primes, most notably the list of the 5,000 largest known primes. Who found the most of these record primes? We keep separate counts for persons, projects and programs. To see these lists click on 'number' to the right.

Clearly one 100,000,000 digit prime is much harder to discover than quite a few 100,000 digit primes. Based on the usual estimates we score the top persons, provers and projects by adding ‎(log n)³ log log n‎ for each of their primes n. Click on 'score' to see these lists.

Finally, to make sense of the score values, we normalize them by dividing by the current score of the 5000th prime. See these by clicking on 'normalized score' in the table on the right.

normalized person primes score 106614 Luke Durant 1 58.0015 25651 Curtis Cooper 8 56.5769 23083 Patrick Laroche 1 56.4714 18806 Jonathan (Jon) Pace 1 56.2664 16454 Ryan Propper 375 56.1329 4556 Tom Greer 124 54.8488 3724 Serge Batalov 392.333 54.6470 3164 Edson Smith 1 54.4841 3060 Odd Magnar Strindmo 1 54.4507 2008 Hans-Michael Elvenich 1 54.0294 1216 Dr. James Scott Brown 190 53.5282 1215 Steven R. Boone 1 53.5273 1173 Péter Szabolcs 1 53.4922 1152 Valter Cavecchia 118 53.4742 869 Antonio Lucendo 38 53.1920 800 Anonymous Person(s) 160 53.1088 707 Vaughan Davies 168 52.9853 671 Dr. Martin Nowak 1 52.9330 614 Mark Williams 21 52.8452 530 Josh Findley 1 52.6968

Notes:

normalized score

Just how do you make sense out of something as vague as our 'score' for primes? One possibility is to compare the amount of effort involved in earning that score, with the effort required to find the 5000th prime on the list. The normalized score does this: it is the number of primes that are the size of the 5000th, required to earn the same score (rounded to the nearest integer).

Note that if a person stops finding primes, its normalized score will steadily drop as the size of the 5000th primes steadily increases. The non-normalized scores drop too, but not as quickly because they only drop when the person's primes are pushed off the list.